How do you simplify #frac { 1} { 2} \cdot ( - \frac { 2} { 2} ) - 2#?

2 Answers
Sep 25, 2017

=# (frac {- 5} { 2} \) #

Explanation:

#frac { 1} { 2} \cdot ( - \frac { 2} { 2} ) - 2#

Open the brackets:

=#- (frac { 1} { 2} \cdot \frac { 2} { 2} ) - 2#

=#- (frac { 1} { 2} \) - 2#

making denominators equal,

=#- (frac { 1} { 2} \) - 2(frac { 2} { 2}) #

=#- (frac { 1} { 2} \) - (frac { 2\times2} { 2}) #

=#- (frac { 1} { 2} \) - (frac { 4} { 2}) #

=# (frac {- 1 -4 } { 2} \) #

=# (frac {- 5} { 2} \) #

Sep 25, 2017

#-2 1/2 or -5/2#

Explanation:

#1/2(color(blue)(-2/2))-2" "larr# simplify the bracket

#=1/2(color(blue)(-1))-2" "larr# multiply

#=-1/2 -2" "larr# make one fraction

#=-(1/2+2)#

#=-2 1/2#